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Logical relations for monadic types
2008
Mathematical Structures in Computer Science
Logical relations and their generalizations are a fundamental tool in proving properties of lambda-calculi, e.g., yielding sound principles for observational equivalence. We propose a natural notion of logical relations able to deal with the monadic types of Moggi's computational lambda-calculus. The treatment is categorical, and is based on notions of subsconing, mono factorization systems, and monad morphisms. Our approach has a number of interesting applications, including cases for
doi:10.1017/s0960129508007172
fatcat:kdwv2ozha5hvnfbxer7uckbu34